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ERIC Number: ED550323
Record Type: Non-Journal
Publication Date: 2011
Pages: 255
Abstractor: As Provided
Reference Count: N/A
ISBN: 978-1-2678-0372-6
ISSN: N/A
An Analysis of the Contents and Pedagogy of Al-Kashi's 1427 "Key to Arithmetic" (Miftah Al-Hisab)
Ta'ani, Osama Hekmat
ProQuest LLC, Ph.D. Dissertation, New Mexico State University
Al-Kashi's 1427 "Key to Arithmetic" had important use over several hundred years in mathematics teaching in Medieval Islam throughout the time of the Ottoman Empire. Its pedagogical features have never been studied before. In this dissertation I have made a close pedagogical analysis of these features and discovered several teaching aspects that are different from most teaching today. In particular al-Kashi presents multiple paths to practice mathematics. He presents multiple definitions, multiple algorithms, multiple formulas, and multiple solution methods as a pervasive feature of his pedagogy. And he expounds an exhaustive exclusive classification method for mathematical objects. I present and contrast examples of each one. Finally I suggest some ways to compare the "Key to Arithmetic" with other historical sources. [The dissertation citations contained here are published with the permission of ProQuest LLC. Further reproduction is prohibited without permission. Copies of dissertations may be obtained by Telephone (800) 1-800-521-0600. Web page: http://www.proquest.com/en-US/products/dissertations/individuals.shtml.]
ProQuest LLC. 789 East Eisenhower Parkway, P.O. Box 1346, Ann Arbor, MI 48106. Tel: 800-521-0600; Web site: http://www.proquest.com/en-US/products/dissertations/individuals.shtml
Publication Type: Dissertations/Theses - Doctoral Dissertations
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A